3104431144100 has 288 divisors, whose sum is σ = 7969336429824. Its totient is φ = 1034833766400.

The previous prime is 3104431144091. The next prime is 3104431144181. The reversal of 3104431144100 is 14411344013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3104431144100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1402814594 + ... + 1402816806.

It is an arithmetic number, because the mean of its divisors is an integer number (27671307048).

Almost surely, 2^{3104431144100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3104431144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984668214912).

3104431144100 is an abundant number, since it is smaller than the sum of its proper divisors (4864905285724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3104431144100 is a wasteful number, since it uses less digits than its factorization.

3104431144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 3104431144100 its reverse (14411344013), we get a palindrome (3118842488113).

The spelling of 3104431144100 in words is "three trillion, one hundred four billion, four hundred thirty-one million, one hundred forty-four thousand, one hundred".